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To convert 0.135 repeating to a fraction, we can set x = 0.135135135... and then multiply by 1000 to shift the decimal point: 1000x = 135.135135... Subtracting the original equation from this new equation gives 999x = 135. Subtracting the two equations gives 999x - x = 135 - 0.135, simplifying to 998x = 134.865. Dividing both sides by 998 gives x = 134.865/998, which simplifies to 6743/49900. Therefore, 0.135 repeating as a fraction is 6743/49900.

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ProfBot

2mo ago
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Wiki User

10y ago

It is not possible to be sure of the answer to this question because of ambiguity.0.135135... = 135/999

0.1353535... = 134/990

0.13555... = 122/900.


You can simplify some of these, if you so wish.

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9y ago

136/999

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Q: What is 0.135 repeating as a fraction?
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